Advanced Calculus

Author: Joseph B. Dence,Thomas P. Dence

Publisher: Academic Press

ISBN: 012384696X

Category:

Page: 256

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Designed for a one-semester advanced calculus course, "Advanced Calculus" explores the theory of calculus and highlights the connections between calculus and real analysis -- providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. Ancillary list: * Companion website, Ebook- http: //www.elsevierdirect.com/product.jsp?isbn=9780123749550 * Student Solutions Manual- To come * Instructors Solutions Manual- To come Appropriate rigor for a one-semester advanced calculus course Presents modern materials and nontraditional ways of stating and proving some resultsIncludes precise historical notes throughout the book outstanding feature is the collection of exercises in each chapterProvides coverage of exponential function, and the development of trigonometric functions from the integral
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Advanced Calculus

Lectures

Author: Владимир Борисович Живетин

Publisher: Pensoft Publishers

ISBN: 9785986640129

Category: Calculus

Page: 543

View: 8246

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Advanced Calculus

Author: Patrick Fitzpatrick

Publisher: American Mathematical Soc.

ISBN: 9780821847916

Category: Mathematics

Page: 590

View: 9373

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Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.
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A Course in Advanced Calculus

Author: Robert S. Borden

Publisher: Courier Corporation

ISBN: 0486150380

Category: Mathematics

Page: 416

View: 6135

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An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
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Advanced Calculus

Author: Phil Dyke

Publisher: Macmillan International Higher Education

ISBN: 1349140767

Category: Analysis (Mathematics)

Page: 183

View: 3815

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This book is a student guide to the applications of differential and integral calculus to vectors. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. The emphasis is on those features of the subject that will appeal to a user of mathematics, rather than the person who is concerned mainly with rigorous proofs. The aim is to assist the reader to acquire good proficiency in algebraic manipulation that can be used in critically assessing the results obtained from using graphics calculators and algebraic software packages.
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Advanced Calculus

Second Edition

Author: David V. Widder

Publisher: Courier Corporation

ISBN: 0486134660

Category: Mathematics

Page: 544

View: 7376

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Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
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Advanced Calculus

Author: Wilfred Kaplan

Publisher: Pearson College Division

ISBN: N.A

Category: Mathematics

Page: 741

View: 6000

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The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory. Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations For all readers interested in advanced calculus.
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Advanced Calculus of Several Variables

Author: C. H. Edwards

Publisher: Academic Press

ISBN: 1483268055

Category: Mathematics

Page: 470

View: 3948

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Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.
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Advanced Calculus

Author: Avner Friedman

Publisher: Courier Corporation

ISBN: 0486137864

Category: Mathematics

Page: 432

View: 2527

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Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.
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